Question

ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm)

Answer 1

Answer:

Diagonals bisect each other in a rectangle and hence

AO = CO ( in this rectangle)

This means that

5x+11=4x+19

Using transposition

5x-4x=19-11

This means that

x= 8 units ( units because the length of rectangle is not given in cm or m)

Now

Diagonal AC = AO + CO

This means that

Ac= 5x+11+4x+19

AC= 9x+30. Now x = 8 , so 9*8 + 30 = 72+30= 102 units.

Now diagonals AC=BD ( diagonals of rectangle are equal) ,

So both diagonals have length equal to 102 units

Step-by-step explanation:

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